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melamori03 [73]
2 years ago
5

the price of a cycle is rs 3,600 . its price is redused by 20% and again further redused by 1/4 . find the final price of the cy

cle after reduction.​
Mathematics
1 answer:
lesya [120]2 years ago
5 0

price of cycle = 3600 Rs

if the price is reduced by 20%, the price will be:

3600 - (20/100*3600) = 3600 - (20*36)

                                      = 3600 - 720

                                      = 2880 Rs

if the price is further reduced by 1/4 (25%),

2880 - (25/100*2880) = 2880 - 720

                                      = 2160 Rs

Therefore, if the price is reduced first by 20% and this is further reduced by 25%, the final price after reduction will be 2160 Rs.

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Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Zolol [24]

Answer:

the ans is :

Step-by-step explanation:

First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.

To find the intersection point, we need to find the point where x and y are the same value in both equations.

The line equations:

6x+2y=26 ................... 1

2x+3y=18 ................... 2

Can be rearranged to the common line equation form: y = mx + c

y = 13 - 3x ................... 3

y = 6 - 2/3 x ................. 4

At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.

13- 3x = 6 - 2/3 x

13 = 6 + 3x - 2/3x ....... add 3x to both sides

13 = 6 + 2 1/3x ........ simplify

7 = 2 1/3 x ........ subtract 13 from both sides

7 = 7/3 x ......... multiply both sides by 3/7

3 = x

To calculate the y-coordinate substitute x = 3 into 3.

y = 13 - 3x

y = 13 - 3(3)

y = 4

To check your answer, substitute the values for x and y into the other equation, 4.

The point of intersection is (3,4).

If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.

4 0
3 years ago
Read 2 more answers
40 pounds of dog food cost $50 how much would 35 pounds of dog food cost
astraxan [27]
50:40=x:35
5/4=x/35
times both sides by (4*35)
5*35=4x
175=4x
divide both sides by 4
43.75=x

costs $43.75
3 0
3 years ago
An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287
Gennadij [26K]

The required value of mean and variance is 203 and 3942 respectively.
Hence option B is correct.

The sample includes the following claims: 192, 113, 200, 287, and 225.

<h3>What is Statistic?</h3>

The statistic is the study of mathematics which deal with relations between comprehensive data.

Mean(x) = 192+113+200+287+225/5
x = 203

variance =\frac{\sum(x-x_i)^2}{n^2-1}

=summation of squared value/n^2−1

=15769/25−1

=15769/24

=3942

Thus, the required value of mean and variance is 203 and 3942 respectively.

Learn more about Statistics here:

brainly.com/question/23091366

#SPJ128000544

8 0
2 years ago
In Exercise,find the balance in the account after 10 years.
djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

y=pe^{rt}

, where P= Present value

r= growth rate  ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500  r = % =0.03  and t= 10

Substitute all the values in the above equation , we get

y=2500e^{0.03(10)}

y=2500e^{0.3}

y=2500(1.3498588)=3374.64701894\approx3374.65  [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

3 0
2 years ago
Find the total surface area of the square pyramid in the figure.<br><br> thanks!!
Viefleur [7K]

Answer:

B: 144 yd²

Step-by-step explanation:

It's a square pyramid : Base area 8 x 8 = 64

4 side area:((8 x5) /2) x 4 = 80

Total area: 64 +80 = 144

5 0
2 years ago
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